Browsing Masters Degrees (Mathematics and Computer Science Education) by Title
Now showing items 2140 of 66

Cosmological models and the deceleration parameter.
(1992)In this thesis we utilise a form for the Hubble constant first proposed by Berman (1983) to study a variety of cosmological models. In particular we investigate the RobertsonWalker spacetimes, the Bianchi I spacetime, ... 
The design and implementation of a classroombased support programme in trignometry for use by underqualified educators.
(2005)The main purpose of the study was to show the necessity of a classroombased educator inservice support programme. Educators have unique problems being derived from the uniqueness of their school situations. Thus, the ... 
Distances in and between graphs.
(1991)Aspects of the fundamental concept of distance are investigated in this dissertation. Two major topics are discussed; the first considers metrics which give a measure of the extent to which two given graphs are removed from ... 
Dynamics of dissipative gravitational collapse.
(2008)In this study we generate the matching conditions for a spherically symmetric radiating star in the presence of shear. Two new exact solutions to the Einstein held equations are presented which model a relativistic radiating ... 
Economic evaluation of management strategies for cattle ranching in semiarid regions.
(2001)Arid and semiarid regions have increasingly become the subject of much research and debate by scientists. By their very nature, these regions characteristically exhibit extremes which complicate the implementation of ... 
The effects of using visual literacy and visualization in the teaching and learning of mathematics problem solving on grade 6 and grade 7.
(2009)In this study I examine the effects of visualization in the teaching of problem solving in grades 6 and 7 in a school south of Durban in KwaZulu Natal. One of the goals of mathematics instruction according to the Department ... 
Exact solutions for spherical relativistic models.
(2011)In this thesis we study relativistic models of gravitating uids with heat ow and electric charge. Firstly, we derive the model of a charged shearfree spherically symmetric cosmological model with heat ow. The ... 
Exploring preservice teachers' mental constructions of matrix algebra concepts : a South African case study.
At the university where the study was conducted matrix algebra is one of the first advanced mathematics courses that preservice teachers encounter. The transfer of knowledge from a primarily procedural or algorithmic ... 
Geogebra, tool for mediating knowledge in the teaching and learning of transformation of functions in mathematics.
(2011)As a teacher of mathematics, I always taught the topic functions (graphs such as linear, quadratic, hyperbola, exponential, trigonometric functions) in the same way all of my twentythree years in the profession. I often ... 
Global embeddings of pseudoRiemannian spaces.
(2007)Motivated by various higher dimensional theories in highenergyphysics and cosmology, we consider the local and global isometric embeddings of pseudoRiemannian manifolds into manifolds of higher dimensions. We provide ... 
Inhomogeneous solutions to the Einstein equations.
(2007)In this dissertation we consider spherically symmetric gravitational fields that arise in relativistic astrophysics and cosmology. We first present a general review of static spherically symmetric spacetimes. aand highlight ... 
The interplay of dynamical systems analysis and group theory.
(2011)We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of selfgravitating ... 
An investigation into grade 12 teachers' understanding of Euclidean Geometry.
(2012)The main focus of the research was to investigate the understanding of Euclidean Geometry of a group of Grade 12 mathematics teachers, who have been teaching Grade 12 mathematics for ten years or more. This study was ... 
Knowledgedirected intelligent information retrieval for research funding.
(2001)Researchers have always found difficulty in attaining funding from the National Research Foundation (NRF) for new research interests. The field of Artificial Intelligence (AI) holds the promise of improving the matching ... 
Learners' conceptual understanding of congruent triangles in transformation geometry
(2011)No abstract. 
Locally finite nearness frames.
(1998)The concept of a frame was introduced in the midsixties by Dowker and Papert. Since then frames have been extensively studied by several authors, including Banaschewski, Pultr and Baboolal to mention a few. The idea of ... 
Long time behaviour of population models.
(2010)Nonnegative matrices arise naturally in population models. In this thesis, we look at the theory of such matrices and we study the PerronFrobenius type theorems regarding their spectral properties. We use these theorems ... 
Mathematical analysis of preexposure prophylaxis on HIV infection.
(2012)We develop a mathematical model which seeks to assess the impact of HIV PreExposure Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis of the model is carried out to establish the ... 
Mathematical analysis of tuberculosis vaccine models and control stategies.
(20141020)The epidemiological study of tuberculosis (TB) has been ongoing for several decades, but the most effective control strategy is yet to be completely understood. The basic reproduction number, R₀, has been found to be ... 
Mathematical attitudes and achievement strategies of successful mathematics learners.
(2011)Too often, discussions about Mathematics express feelings of anguish and despair; and, indeed Mathematics results in general in South Africa can be described as dismal. The Department of Education (DoE) reported that in ...